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Finding the Fourth Proportional to 145,364.40, 200,482.83 and 102,486.78

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Solution

The fourth proportional to 145,364.40, 200,482.83 and 102,486.78 is: 141,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,364.40 : 200,482.83 = 102,486.78 : x
  2. Step 2: Convert to fraction form
    145,364.40/200,482.83 = 102,486.78/x
  3. Step 3: Cross multiply
    145,364.40x = 200,482.83 × 102,486.78
  4. Step 4: Simplify right side
    145,364.40x = 20,546,839,691.99
  5. Step 5: Solve for x
    x = 20,546,839,691.99/145,364.40
  6. Step 6: Final answer
    x = 141,347.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.